GCD of 432, 993, 75, 448 Calculator

Given Input numbers are 432, 993, 75, 448

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 432, 993, 75, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 993, 75, 448 is 1.

Therefore, GCD of numbers 432, 993, 75, 448 is 1

Given Input Data is 432, 993, 75, 448

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 993 is 3 x 331

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(432, 993) = 142992

GCD(432, 993) = ( 432 x 993 ) / 142992

GCD(432, 993) = 428976 / 142992

GCD(432, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 448

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 448) = 1344

GCD(3, 448) = ( 3 x 448 ) / 1344

GCD(3, 448) = 1344 / 1344

GCD(3, 448) = 1

GCD of 432, 993, 75, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 875, 10, 325
• GCD of 342, 136, 55, 860
• GCD of 381, 355, 75, 565
• GCD of 137, 238, 50, 350
• GCD of 441, 762, 33, 900

1. What is the GCD of 432, 993, 75, 448?

GCD of 432, 993, 75, 448 is 1

2. Where do I get the detailed procedure to find GCD of 432, 993, 75, 448?

You can find a detailed procedure to find GCD of 432, 993, 75, 448 on our page.

3. How to find GCD of 432, 993, 75, 448 on a calculator?

You can find the GCD of 432, 993, 75, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.